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Examveda

The remainder , when (22225555 + 55552222) is divided by 7, is

A. 4

B. 5

C. 0

D. 2

E. None of these

Answer: Option C

Solution(By Examveda Team)

an + bn is always divisible by (a + b) when n is odd.
So,
(22225555 + 55552222) is always divisible by (2222 + 5555) = 7777
And 7777 is multiple of 7,
so (22225555 + 55552222) is divisible by 7

This Question Belongs to Arithmetic Ability >> Number System

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Comments ( 2 )

  1. Subrat Das
    Subrat Das :
    3 months ago

    please read the question carefully before attempt to answer .

  2. Gaurav Singh
    Gaurav Singh :
    5 years ago

    BUT HERE POWER IS NOT SAME SO HOW WE USE THIS FORMULA IN THIS QUESTION ?

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